Polynomial systems admitting a simultaneous solution

Kurzanzeige
dc.contributor.authorConner, Austin
dc.contributor.authorMichalek, Mateusz
dc.contributor.authorSchindler, Michael
dc.contributor.authorSzendrői, Balázs
dc.date.accessioned2025-02-04T06:41:11Z
dc.date.available2025-02-04T06:41:11Z
dc.date.issued2025-04
dc.description.abstractWe provide a description of a complete set of generators for the ideal that serves as the resultant ideal for n univariate polynomials of degree d. Our generators arise as maximal minors of a set of cascading matrices formed from the coefficients of the polynomials, generalizing the classical Sylvester resultant of two polynomials.
dc.description.versionpublisheddeu
dc.identifier.doi10.1016/j.jalgebra.2024.12.015
dc.identifier.ppn1916648304
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/72173
dc.language.isoeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510
dc.titlePolynomial systems admitting a simultaneous solutioneng
dc.typeJOURNAL_ARTICLE
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  title={Polynomial systems admitting a simultaneous solution},
  year={2025},
  doi={10.1016/j.jalgebra.2024.12.015},
  volume={667},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={412--424},
  author={Conner, Austin and Michalek, Mateusz and Schindler, Michael and Szendrői, Balázs}
}
kops.citation.iso690CONNER, Austin, Mateusz MICHALEK, Michael SCHINDLER, Balázs SZENDRŐI, 2025. Polynomial systems admitting a simultaneous solution. In: Journal of Algebra. Elsevier. 2025, 667, S. 412-424. ISSN 0021-8693. eISSN 1090-266X. Verfügbar unter: doi: 10.1016/j.jalgebra.2024.12.015deu
kops.citation.iso690CONNER, Austin, Mateusz MICHALEK, Michael SCHINDLER, Balázs SZENDRŐI, 2025. Polynomial systems admitting a simultaneous solution. In: Journal of Algebra. Elsevier. 2025, 667, pp. 412-424. ISSN 0021-8693. eISSN 1090-266X. Available under: doi: 10.1016/j.jalgebra.2024.12.015eng
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kops.sourcefieldJournal of Algebra. Elsevier. 2025, <b>667</b>, S. 412-424. ISSN 0021-8693. eISSN 1090-266X. Verfügbar unter: doi: 10.1016/j.jalgebra.2024.12.015deu
kops.sourcefield.plainJournal of Algebra. Elsevier. 2025, 667, S. 412-424. ISSN 0021-8693. eISSN 1090-266X. Verfügbar unter: doi: 10.1016/j.jalgebra.2024.12.015deu
kops.sourcefield.plainJournal of Algebra. Elsevier. 2025, 667, pp. 412-424. ISSN 0021-8693. eISSN 1090-266X. Available under: doi: 10.1016/j.jalgebra.2024.12.015eng
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